OVERVIEW

The course is aimed at: revising basic arithmetics and geometry contents to be taught; developing didactical competences in mathematics teaching; developing competences in planning, implementing, critically revising teaching sequences and carrying out efficient assessment strategies.

AIMS AND CONTENT

LEARNING OUTCOMES

The course aims at: 1) Revising mathematical knowledge concerning arithmetics (fractions, decimal numbers) and geometry 2) Promoting the development of didactical competences concerning the teaching and learning of mathematics 3) Promoting the development of didactical competences concerning the design, implementation, analysis and assessment of teaching sequences. More specifically, the course will address: rational numbers and their representations; difficulties concerning fractions; definitions in geometry (heights of triangles, parallel lines)

AIMS AND LEARNING OUTCOMES

The course is aimed at:

1) revising basic arithmetics and geometry contents to be taught in grades K-5; more specifically, the following themes will be addressed: rational numbers and their representations; heights of a triangle; parallelism in plane; definitions in geometry.

2) developing didactical competences in mathematics teaching (being aware of didatical issues connected with the mathematical content; being able to perform a priori analysis of the tasks)

3) developing competences in planning, implementing, critically revising teaching sequences and carrying out efficient assessment strategies.

TEACHING METHODS

Laboratory-style lessons (individual work on worksheets + class discussions).

Participant students are expected to attend to minimum 2/3 of the lessons, fill out the worksheet and do some homeworks.

Non participant students are expected to fill the worksheets at home.

In case the course will be carried out in DISTANCE TEACHING modality, students will receive worksheets to be filled at home and uploaded on Aulaweb. During the online lessons (twice a week, on TEAMS) worksheets will be discussed. In this way, the laboratory style of the course will be mantained even in online modality. All the online lessons will be recorded and videos will be at disposal on TEAMS.

Students are expected to attend to the online lessons (65% frequency is required) and to upload in time all the assigned worksheets (100% is required).

Also those students who cannot attend to the online lessons are expected to upload the worksheets in time.

SYLLABUS/CONTENT

The concept of rational number and its representations.

The concept of parallelism in plane; areas; theoretical figures and drawings; heights of a triangle; definitions in geometry.

The aforementioned contents will be treated in reference to current National Guidelines and to the related teaching and learning problems, with a focus on linguistic and representation aspects.

RECOMMENDED READING/BIBLIOGRAPHY

Worksheets and reading materials will be provided during the course on aulaweb.

Videos of the lessons will be at disposal on TEAMS.

Recommended reading:

Sabena, Martignone, Ferri, Robotti, (2019). Insegnare e apprendere matematica nella scuola dell'infanzia e primaria. Modandori Università

TEACHERS AND EXAM BOARD

Exam Board

FRANCESCA MORSELLI (President)

ELISABETTA ROBOTTI

ELDA GUALA (President Substitute)

LESSONS

LESSONS START

22 september, According to the academic calendar.

Class schedule

MATHEMATICS (MODULE I)

EXAMS

EXAM DESCRIPTION

Participant students: Individual report on the course + written exam. The written exam will consist of open-ended quesiton concerning mathematical aspects (e.g. representing a rational number on the number line) and didatical ones (e.g. analysis of an INVALSI item; analysis of an excerpt from a textbook; designing a task to address a mathematical topic).

Non participant students will receive additional questions in the written exam.

ASSESSMENT METHODS

Written exam (open ended questions)

Exam schedule

FURTHER INFORMATION

Students with DSA, disability or other special educational needs are recommended to contact the professor at the beginning of the course to agree on teaching and exam methods which, according to the course’s objectives, take into account the modalities individual learning and provide suitable compensatory tools.

For international students, texts and articles in English are available on request. The exam can be taken in English in the prescribed manner